Question

Confused!! consider the polar axes with the points plotted below. Write the coordinates of point A in polar form. Be sure to write your radius as a positive value. Plot the point (-3, pi/3) on the graph and label it as point C.

Answer 1

Point A is on the 4th circle from the center, each circle has a radius of 1, so the 4th circle has a radius of 4. The point is also on the angle labeled 5PI/6.

The polar coordinate would be (4, 5PI/6)

Point C, you are given (-3,pi/3)

Because the radius is positive find the 3rd circle, which would be r = 3, Then find where PI/3 is on the circle and find the value opposite that which is 4pi/3